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Solve the following fraction problems: a) 2/5 + 4/5 b) 5/9 + 6/9 c) 3/4 - 2/4 d) 7/10 + 5/10 e) 5/6 + 3/6 f) 5/7 + 6/7

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Answers

6 parts
a

115\mathbf{1\frac{1}{5}}

b

129\mathbf{1\frac{2}{9}}

c

14\mathbf{\frac{1}{4}}

d

115\mathbf{1\frac{1}{5}}

e

113\mathbf{1\frac{1}{3}}

f

147\mathbf{1\frac{4}{7}}

Step-by-step solution

13 steps

Here are the solutions for the fraction problems:

Part a· 2 steps

  1. Add the numerators.

    25+45=2+45=65\frac{2}{5} + \frac{4}{5} = \frac{2+4}{5} = \frac{6}{5}

  2. Convert the improper fraction to a mixed number.

    65=115\frac{6}{5} = 1\frac{1}{5}

    The answer is 115\boxed{\mathbf{1\frac{1}{5}}}.

Part b

129\mathbf{1\frac{2}{9}}

  1. Add the numerators.

    59+69=5+69=119\frac{5}{9} + \frac{6}{9} = \frac{5+6}{9} = \frac{11}{9}

  2. Convert the improper fraction to a mixed number.

    119=129\frac{11}{9} = 1\frac{2}{9}

    The answer is 129\boxed{\mathbf{1\frac{2}{9}}}.

Part c

14\mathbf{\frac{1}{4}}

  1. Subtract the numerators.

    34−24=3−24=14\frac{3}{4} - \frac{2}{4} = \frac{3-2}{4} = \frac{1}{4}

    The answer is 14\boxed{\mathbf{\frac{1}{4}}}.

Part d

115\mathbf{1\frac{1}{5}}

  1. Add the numerators.

    710+510=7+510=1210\frac{7}{10} + \frac{5}{10} = \frac{7+5}{10} = \frac{12}{10}

  2. Convert the improper fraction to a mixed number.

    1210=1210\frac{12}{10} = 1\frac{2}{10}

  3. Simplify the fraction part.

    1210=1151\frac{2}{10} = 1\frac{1}{5}

    The answer is 115\boxed{\mathbf{1\frac{1}{5}}}.

Part e

113\mathbf{1\frac{1}{3}}

  1. Add the numerators.

    56+36=5+36=86\frac{5}{6} + \frac{3}{6} = \frac{5+3}{6} = \frac{8}{6}

  2. Convert the improper fraction to a mixed number.

    86=126\frac{8}{6} = 1\frac{2}{6}

  3. Simplify the fraction part.

    126=1131\frac{2}{6} = 1\frac{1}{3}

    The answer is 113\boxed{\mathbf{1\frac{1}{3}}}.

Part f

147\mathbf{1\frac{4}{7}}

  1. Add the numerators.

    57+67=5+67=117\frac{5}{7} + \frac{6}{7} = \frac{5+6}{7} = \frac{11}{7}

  2. Convert the improper fraction to a mixed number.

    117=147\frac{11}{7} = 1\frac{4}{7}

    The answer is 147\boxed{\mathbf{1\frac{4}{7}}}.

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